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If (H x equiv E) for every (xin E), W is a Hausdorff topological vector space, and each (C x)) is replaced by (-operatorname{int}C x)), where (C x)) is a closed and convex cone with (operatorname{int}C x neqemptyset), then AGVQEP reduces to the generalized vector equilibrium problem investigated by Batista et al. [25].
This situation, illustrated in Figure 1, represents for example the problem investigated by Bandyopadhyay et al. (2006 ), where proteins of two organisms are first clustered by the Inparanoid algorithm, and functional orthologs are searched within clusters.
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Given the structural similarity of the problems investigated by these two disciplines, exploring their connections can reveal how similar these formalisms really are.
Finally, to the best of our knowledge, neither time-series analysis, nor the specific problems investigated by us in terms of representation and analysis of phenotypic variability have been considered either for investigation of C. elegans phenotypes or for cytological profiling.
The problem was investigated by Paul Newton, head of the Wellcome Trust southeast Asian units in Laos.
The Cauchy problem was investigated by Jachmann and Reissig [8].
The forward kinematics problem is investigated by number analysis method.
The problem is investigated by both analytical and numerical methods.
The continuous-time fractional programming problem was investigated by Zalmai [18 21].
The nilpotent center problem was investigated by Moussu [8] and Stróżyna and Żołądek [9].
Existence of a solution of this problem is investigated by Ansari et al. [1, 2].
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